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Set Theory, Logic, Probability, Statistics

- Fundamentals: Set theory, logic and proofs. Probability and statistics
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Jan16-12 Greg Bernhardt
Please post any and all homework or other textbook-style problems in one of the Homework & Coursework Questions...
Feb23-13 09:25 AM
1 30,689
The opposite of a great truth is also a great truth - T. Mann For example, the opposite of empty set {} is a...
Jul17-11 01:23 AM
2 1,904
Hey, I am trying to find the probability that exactly two people out of m have the same birthday. I know that the...
Jul15-11 02:12 AM
15 15,237
I was wondering if anyone could help me with this, I've been trying to curve fit Young's formula for double slit...
Jul26-11 04:41 PM
5 2,831
I'm wondering how conditional probability relates to concepts of sample space, observation space, random variable,...
Jul15-11 08:18 AM
6 1,655
Hey all. I have some data, approximately 6 months worth. It is values that do not depend on time but are...
Jul18-11 10:48 AM
13 1,935
What is the function that I get when I take a large sample from an exponential distribution (many values from the same...
Jul15-11 08:22 AM
7 1,205
A random variable is defined as a function from one set, called a sample space, to another, called an observation...
Jul15-11 06:19 PM
9 1,105
Here, to further test my understanding, is an attempt to apply the measury theory definitions of a probability space...
Jul15-11 07:02 PM
5 2,600
Given 4 axioms in real Nos: 1) 1x = x ,for all x 2) x+0 = x ,for all x 3) (x+y)z = xz+yz ,for all x,y,z 4)...
Jul16-11 08:04 PM
2 882
I am dealing with the following interesting combinatorics problem, several reformulations of which haven't help me...
Jul25-11 03:57 AM
5 1,597
Hello, I am teaching myself Set Theory, and in doing some exercises I came across the problem: Given sets A and...
Jul26-11 12:00 AM
8 2,110
Does every infinite set contain an infinite, countable subset? If so, why? (I'm assuming this depends on the Axiom...
Jul22-11 03:27 PM
25 5,392
Hello all, I'm currently working on a problem in which I'm attempting to characterize a centered Gaussian random...
Jul17-11 08:32 AM
1 1,823
These three quotes talk about the use of the Poisson and normal distributions as approximations for the binomial when...
Jul17-11 11:01 AM
3 2,262
prove the following equivalences: 1)\neg\forall x\neg Fx\Longleftrightarrow\exists xFx 2)\neg\forall x...
Jul17-11 07:58 AM
0 834
In an ANOVA experiment, you have, group mean \overline{y}. overall mean \overline{y}.. Are they independent? ...
Jul18-11 04:23 PM
20 2,163
Hello, Let X be a set of N lognormal prices (in dollars), meaning \log(X) = Y \sim MN(\mu_Y , \Sigma_Y) , i.e....
Jul20-11 11:31 AM
6 1,484
Hi, could someone possible make something clear for me - I have come across this notation for a binomial PMF formed...
Jul20-11 07:56 AM
9 1,882
If the set of real numbers is considered as a sample space with the Borel sigma algebra for its events, and also as an...
Jul19-11 01:51 PM
7 1,632
Here's the issue. I have two curves that are dependent on each other (part of a bigger solution set). The logic of...
Jul19-11 05:14 PM
0 670
Hi all, I'm new to the forum, this is my problem: given a positive integer n, i want to find how many combinations...
Jul24-11 05:30 PM
2 2,300
I've just read a paper that references the use of student-t orthogonal polynomials. I understand how the Gauss-Hermite...
Jul24-11 06:29 PM
2 1,051
What book or course would you recomend to a beginner in Probability and Statistics? That is my question. However I...
Jul21-11 08:50 PM
5 2,003
Hello, I am trying to figure out what test to use in order to solve a fairly basic concept. I am not sure if this is...
Jul21-11 10:23 AM
Stephen Tashi
5 1,003
My course notes and textbook express this differently: To construct the confidence interval for diff. between...
Jul22-11 11:02 AM
1 1,291
Goal The goal is to create a weighted average of global rankings. Does not have to be perfectly accurate (if that was...
Jul24-11 08:26 AM
4 2,040
I'm reading a stat textbook and it says the following: Let a discrete-time random walk be defined by Xt = Xt-1 +...
Jul21-11 08:52 PM
11 4,907
Hi, All: The standard way of approaching the birthday problem, i.e., the problem of determining the...
Jul22-11 07:49 AM
2 1,319
I have read that the statistic computed for the unpaired two sample t-test is: t = \frac{\bar{x} -...
Jul22-11 02:05 AM
2 1,753
I am intrigued by the idea of changing/dynamic transition probability matrix instead of the assumption of constant...
Jul22-11 02:18 PM
Stephen Tashi
1 1,993
Hi all, I am trying to devise a mathematical model for my project I am working at. Description is as follows: we...
Jul26-11 12:47 PM
19 2,769
Theorem: A stationary AR(1) model can be expressed in terms of MA(infinity). Proof:...
Jul23-11 07:15 AM
3 5,203
a vase contains one red ball two white balls and three black balls. n balls are take out of the vase and (each ball...
Jul24-11 03:59 AM
6 1,183
Suppose the random variables Xi's are independent, then is it always true that Var(X_1 + X_2 + X_3 +...) = Var(X_1) +...
Jul23-11 07:54 AM
1 1,343
Hello. As I understand, in the classical logic it's impossible to "take", for example, the set of all sets. I...
Jul26-11 12:09 AM
8 1,873
Ok someone tell me the official explanation of why alpha cannot be zero in hypothesis testing.
Jul24-11 07:46 AM
1 1,187
Hello. Say that I want to express a set consisting of the values of a continuous function, G(x), over a range of...
Jul26-11 12:01 PM
9 2,616
I will try to be brief, so please bear with me! I have a Matlab program which simulates a particle's movement over...
Jul25-11 04:19 PM
2 1,280
Suppose I have 2 sets of data: day1 and day2. I want to fit a model to both data sets and then compare them to each...
Jul27-11 11:15 AM
Stephen Tashi
1 1,616
Hi all, I am having trouble with the concept of joint pdf's. For example - a set Z1,Z2,...ZN are each gaussian rv....
Jul27-11 10:58 AM
7 1,890

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